Theorems · Theorem · functional analysis

MeasureTheory.eLpNormEssSup_mono_nnnorm_ae

∀ {α : Type u_1} {F : Type u_5} {G : Type u_6} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α}
  [inst : NormedAddCommGroup F] [inst_1 : NormedAddCommGroup G] {f : α → F} {g : α → G},
  (∀ᵐ (x : α) ∂μ, ‖f x‖₊ ≤ ‖g x‖₊) → MeasureTheory.eLpNormEssSup f μ ≤ MeasureTheory.eLpNormEssSup g μ

Defined in

Mathlib.MeasureTheory.Function.LpSeminorm.Basic

Cited by

0 results in Mathlib

Foundations

Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupNormedAddCommGroup